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Finding the Third Proportional to 513,567 and 771,903

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Solution

The third proportional to 513,567 and 771,903 is: 1,160,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,567 : 771,903 = 771,903 : x
  2. Step 2: Convert to fraction form
    513,567/771,903 = 771,903/x
  3. Step 3: Cross multiply
    513,567x = 771,903 × 771,903
  4. Step 4: Simplify right side
    513,567x = 595,834,241,409
  5. Step 5: Solve for x
    x = 595,834,241,409/513,567
  6. Step 6: Final answer
    x = 1,160,187.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.